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Finding the Fourth Proportional to 72,813.22, 100,468.83 and 40,975.36

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Solution

The fourth proportional to 72,813.22, 100,468.83 and 40,975.36 is: 56,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,813.22 : 100,468.83 = 40,975.36 : x
  2. Step 2: Convert to fraction form
    72,813.22/100,468.83 = 40,975.36/x
  3. Step 3: Cross multiply
    72,813.22x = 100,468.83 × 40,975.36
  4. Step 4: Simplify right side
    72,813.22x = 4,116,746,478.03
  5. Step 5: Solve for x
    x = 4,116,746,478.03/72,813.22
  6. Step 6: Final answer
    x = 56,538.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.